slope intercept from two points

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you calculate the slope (m) from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Given points (3,5) and (0,4), what is the slope of the line?

Back

The slope (m) is (4 - 5) / (0 - 3) = 1/3.

Front

Write the equation in slope-intercept form for the line through (3,5) and (0,4).

Back

y = (1/3)x + 4.

Front

Given points (-4,-7) and (-6,9), what is the slope of the line?

Back

The slope (m) is (9 - (-7)) / (-6 - (-4)) = -8.

Front

Write the equation in slope-intercept form for the line through (-4,-7) and (-6,9).

Back

y = -8x - 39.

Front

What is the slope of the line represented by the equation y = -2x - 2?

Back

The slope (m) is -2.

Front

What is the y-intercept of the line represented by the equation y = -2x - 2?

Back

The y-intercept (b) is -2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.